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Finding the Fourth Proportional to 11,577.96, 17,376.12 and 6,032.88

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Solution

The fourth proportional to 11,577.96, 17,376.12 and 6,032.88 is: 9,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.96 : 17,376.12 = 6,032.88 : x
  2. Step 2: Convert to fraction form
    11,577.96/17,376.12 = 6,032.88/x
  3. Step 3: Cross multiply
    11,577.96x = 17,376.12 × 6,032.88
  4. Step 4: Simplify right side
    11,577.96x = 104,828,046.83
  5. Step 5: Solve for x
    x = 104,828,046.83/11,577.96
  6. Step 6: Final answer
    x = 9,054.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.